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Element‐free Galerkin methods

International Journal for Numerical Methods in Engineering, 1994
AbstractAn element‐free Galerkin method which is applicable to arbitrary shapes but requires only nodal data is applied to elasticity and heat conduction problems. In this method, moving least‐squares interpolants are used to construct the trial and test functions for the variational principle (weak form); the dependent variable and its gradient are ...
Belytschko, T., Lu, Y. Y., Gu, L.
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The Runge-Kutta Discontinuous Galerkin Method for Conservation Laws V

Journal of Computational Physics, 1998
Bernardo Cockburn, Chi-Wang Shu
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The Galerkin Method

2018
The Galerkin method is a very general framework of methods which is very robust. The idea is as follows. Starting from a variational problem set in an infinite dimensional space, a sequence of finite dimensional approximation spaces is defined. The corresponding finite dimensional approximated problems are then solved, which is usually easier to do ...
H. Dret
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